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Finding the Fourth Proportional to 2,943, 4,061.48 and 1,616.76

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Solution

The fourth proportional to 2,943, 4,061.48 and 1,616.76 is: 2,231.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,943 : 4,061.48 = 1,616.76 : x
  2. Step 2: Convert to fraction form
    2,943/4,061.48 = 1,616.76/x
  3. Step 3: Cross multiply
    2,943x = 4,061.48 × 1,616.76
  4. Step 4: Simplify right side
    2,943x = 6,566,430.32
  5. Step 5: Solve for x
    x = 6,566,430.32/2,943
  6. Step 6: Final answer
    x = 2,231.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.